Đề thi vào 10 (Đáp án chi tiết)

   !!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 1 (Không kể thời gian giao đề)
Bài 1 "# 
$ % % $ % % % % 
&
% 
%  %  % %
 
+ − + − −
= − ×
 ÷
 ÷
−
+ +
 

'()*+*,-".%*"# &*/0 %1 *2
"'345"# &
Bài 2'671-8-9*:2;<' =8,


 %

= −

"'>5?8*/@A*B*
( )
C 
-8 D,D +E1 *2+**/@

A?.%4 -*:2;<'()F*G.*
'E1 *2+**/@A? H;<'F*I" D8*G?/J
Bài 3>7/JK)
% %  % L− = +
Bài 4G, D M,N.*O P M, =D)*/0 G,J
,*Q 8L$(O =,*Q -8,F8"RSS(),*Q 
Bài 5(TG*&U8*/@KV;W'-9..&XY&-8 1.
&ZN =*/@KV*D>5[8K* =?IZN
'#N\*&YXY[YWY ]RK^G*/@KV
"'<8G*_`K^ a
»
X
(T<?b 1 *F<cY<Y<de
#b-fD g/0- 1  FXY&Y&X#

<c < <d= ×

HƯỚNG DẪN
Bài 1: '+
( )
Y    Y  x x x x x> + + = + ≠ − ≠
x
⇔ >
-8
x
≠
.
"'
( )
( ) ( )


$ $ $ $

 
 

x x x x
x
x x
x x
x
+ − + −
− = −
−
+ +
+ −
+
( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
 
$  $ 

   
x x x x
x
x x x x
+ − − − +
= =
+ − + −
x x x x

x x
+ − −
=
( ) ( ) ( )
( )
( ) ( )

     x x x x x x x
x x x x x
+ − + + − − +
= = =
hK
$ $ 

 
x x x x x x
A
x
x x x x
 
+ − + − −
= − ×
 ÷
 ÷
−
+ +
 

( ) ( )
( ) ( )



 
 
 
x x
x
x
x x
x x
+ −
= × =
+ −
Bài 2: 'i(j%1 *2 =8,
R
ihb".^8, D?F


 %  

 
= = − <
 ÷
 
Y^8,*:".K^3
!
Y2 
".K^3
i
-8"R+%k

iX71K2
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
% !

−
  


 %

= −
!


−



−
!

%
   !!
i:28,8*/@K" D*lWYKm *,%#W
"' i</JK)*/@A?  D,D + 
 % "
= +
 -8 *B* 
( )
C 

 ^
  " "  
= + ⇔ = −
c*D/JK) =?8
 %  
= + −

i</JK) 8*G* =?-8;<'
 

% %   % %    ;n'

− = + − ⇔ + − + =
i?.%4 -;<')/JK);n' D+o

p       L∆ = + − = ⇔ = − ±

iq
 La = − −
8*G.*8
%   L  r  L
= − = + ⇒ = − −

c*D.*8
( )
 L C r L+ − −
iq
  L= − +
8*G.*8
%   L  r  L

= − = − ⇒ = − +

c*D.*8
( )
 L C r L− − +
'i? H;'F*I" D8*G?/J)
( ) ( )

  L    L
p    

<       L

h  
 

< − − > − +


∆ = + − >


= − + > ⇔ < ⇔ < − −
 
 
= − >

<



Bài 3:i+%1 *2 =/JK)
x
≥

% %  % L % r % L − = + ⇔ − − =
Cs
E %
=
Y-*+
X
≥
</JK)*Q KU8

 
E rE L  E C E L
− − = ⇔ = − =
, .*+Y D
E % L % $L= = ⇔ =

qj/JK)*Q  DG%k$L
Bài 4: >5 M,8 m 8%Y M,8*J-28
n
%Y  N C %Y  S∈ ≤
h,*Q 8%iY-8,*Q*O P M,8i%
(e*g"8 D
 L$  S S L$
  SS   SS
y x x y x y
x y y x x y
+ − = + − + =

 
⇔
 
+ + + = + =
 
>78*0 8
C tx y
= =
qj,*Q 8t
Bài 5:'i( D[8K* =?I ZNY^*/@+uBW-8[-fD -ZN
i 
·
·
·
WX& W& W[& -= = =
Y^XYY[YWY&UK^
*/@KV*/@+uW&
"'i1 #1 <cXd-8<c*G.*/0 Y-)
DD *,?8D -f
i  Eo      1  <c  -8  <dcY    D
·
·
·
·
c< X& -C c<d X& -
+ = + =

Z8 
·
·

X& X&=
 ;D G. ] H  
»
X
'
hK
·
·
c< c<d
=
 
i
·
·
c< c<=
;D G. H 
»
c<
'C

·
·
c< dX<=
; ] H 
»
X<
'C
·
·
d<X dc<

=
; ] H 
º
d<
'C
ihK
·
·
c< <cd
=
⇒∆<c∽∆<dc

<c <
<c < <d
<d <c
⇔ = ⇔ = ×
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !$!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 2 (Không kể thời gian giao đề)
Câu 1'E1 *2%
∈
3*"# &k
xx
xx
−+
−−+






8G,b^
"'"# <k

%  v
% %  v   v%  v 
+ +
+ + + + + +
X.%vkYu
<

Câu 2:  1 *&;−C'CX;C'C;C'Cc;−$C'
'#$*&YXYcA8C$*&YXY+fA8"'(uh
∆
&X

Câu3>7/JK)
r
$
=−−− xx
Câu 4*/@KV;WC3'-8G*& W&k3

q9 1 ..&XY&-*/@KVZGD
·

%W r=
H*FA&X-8&g/0Fc-8Z3
'c8.. =*/@KV;W' "'


3 c 3
$
< <

HD: Câu 1'&k

  
 
%  %
%  % %  % ; %  %' %
; %  %'; %  %'
+ +
+ − − = + − − + + = −
+ − + +
&8,b^
⇔
−%8,b^
⇔
+
%

=
;K*D+∈w-8+≤'
"'+%1 *2%YYv≥Y+.0-%vk*/0 %YYvx-8
%v =

NI 7y-8z =Fy#-
%
CUz =Fy#$"U

xyz
*/0 
% % % 
%  v
< 
% %  % %  v; %  % % % 
+ +
= + + = =
+ + + + + + + +
⇒
< =
-)<x
Câu 2'/@A*B*&-8X D?Fk%i"
&;−C'-8X;C'G */@A&X^
⇒
"kCk
qj*/@A&X8k%i
;C' DF*G+f7Qk%i^+fG */@A&X
⇒
&YXY+fA8
c;−$C' DF*G7Qk%i^*cG */@A&X
⇒
&YXYcA8
"'( D&X

k;−−'

i;−'

kC&


k;−−'

i;−'

k
X

k;−'

i;−'

k
⇒
&X

k&

iX


⇒
∆&X-fF
qjh
∆
&X
k


&Xk

r


=
;*J-2?u '
Câu 36E%
≥
Y*s
$
%  C  % -− = − =
 D/JK)
 $
 - r
 - 
− =


+ =

>7/JK)"R/J1.*/0 -k
⇒
%k
Câu 4'{?m*2u<u*/0 &Xk&k3
⇒
&XW8)-f
6|"1+uWZ 
·
·
XWc ZWc=
⇒

·
·
ZW W=
#∆XWck∆ZWc⇒
·
·

WZc WXc S= =
(/Jb
·
WZ
kS

⇒
cYZYA8c*Dc8.. =*/@KV;W'
"Eo∆&c Dc}&ci&8ckcXi
⇒
c}&ci&icXic}&Xi&k3
⇒
c}3
( Dcx&cCcx&CckcXi
GT */0 $cx3
⇒
cx
$

3qj3xcx
$

3

X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
%


c
Z
&

X
W
   !!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 3 (Không kể thời gian giao đề)
Bài 1: "# <k
( )








−
+−









+
+
−
−
−




x
xx
xx
xx
xx
xx
'345<
"'()%^*< D1K2^
Bài 2: /JK)%

−;i'%i

i−Lk;n'
'()*/JK);n' DI
"'()*/JK);n' D%

C%


7Q
$

$

xx −
kr
Bài 3/JK)%

i"%i k D?/JI"%

Y%



#
'</JK) 

i"ik ~ D?/JI"

-8


"'#%

i%

i


i


≥

Bài 4: 1  D 1 D 5&XG.*/@KVIW8Kb I =1 
c8G*K^ X+f #*&
'E1 *2-2Ku =*c*#1 Xc8)")8
"'>5<-8•g/08 1 **,%# =*cB 1 */@A&X-8&
#KR$*<CC•A8
'()-2Ku =*c*<• D*G?8€
Hướng dẫn:
Bài 16%
C ≠≥ x

'345<k
( )
( )
( )

 
 

 
x
x x
x x x
−
−
− −

k


';


−
+
=
−
−
x
x
x
x

"'<k





−
+=
−
+
xx
x
<^)
%   %  % C %   %  % 

%   % $ % SC %   % ;•'
− = ⇒ = ⇒ = − = − ⇒ = ⇒ =
− = ⇒ = ⇒ = − = − ⇒ = −

qj-%k‚CCSƒ)< D1K2^
Bài 2'/JK) DI)
( )
( )



 
 
     L 
% %   L 
% %   

∆ = + − + − ≥


= + − >


+ = + <



r 
; '; $'   $






∆ = >

⇔ − + > ⇔ < −



< −


"'>7/JK)
( )
$
$
  ; $' r− − + =



 

 r


r;$ $ „' r    
 r




− +
=


⇔ + + = ⇔ + − = ⇔

− −

=



Bài 3: 'q)%

8 =/JK)%

i"%i k^

 
%  "%    + + =
q)%

x⇒ 

 
 
"  
% %
 

+ + =
 ÷
 

X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !r!
#a


%
8G?/J =/JK) 

i"ikC

k


%

q)%

8 =/JK)%

i"%i k⇒

 
% "%  + + =
-)%
 
x^  


 
 
"  
% %
   
+ + =
 ÷  ÷
   
 *8 #a 


x
 8G?/J =
/JK) 

i"ikC

k


%

qj./JK)%

i"%i k D…?/JI"%

C%

)/J

K) 

i"ik ~ D?/JI"

C



k


x
C

k


x
"'c%

C%

C

C

*8M?/J^


i%


k


x
i%


≥
C

i%

k


%
i%


≥
c*D%

i%

i

i

≥


Bài 4 '>7y*Q)*/0 *cK^ X #1 Xc8)")86
*DXc††Cc††X-)8Kb I1 &X^
⊥&X-8X⊥&⇒Xc⊥&X-8c⊥&
c*D
·

&Xc S =
-8
·

&c S=

qj&c8*/@+u =*/@KVIW
N/0 F.c8*g*/@+u&c
=*/@KVIW)#1 Xc8X
"'q)<*,%#-cB&X^
·
·
&<X &cX=
C

·
·
&cX &X=
C
·
·
&cX &X=
c*D

·
·
&<X &X=
Zs+1 
·
·
·
·
 
&X &X t  &<X &X t+ = ⇒ + =

(#1 &<XG.*/0 */@KV^
·
·
<&X <X=
Z8
·
·
<&X c&X=
?*D
·
·
<X c&X=
#/Jb D
·
·
• c&=
qj
·
·

·
·
·
·

<• <X X • X& X t= + + = + =
X*<CC•A8
'(€
∆
&<•81  I*l&
D&<k&•k&c-8
·
·
<&• X&=
+f*O^ F*1<•*F1K2€&<
-8&•8€&c8€
c8*g*/@+u+|T& =*/@KVIW
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
H
O
P
Q
D
C
B
A
   !L!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 4 (Không kể thời gian giao đề)

Bài 1"# 
( ) ( ) ( )
%  %
<
; %  ';  '
%  ' %  %   
= − −
+ −
+ + + −
'()*+ =%-8*<%1 *2345<
"'()%Y^aQ/JK)<k
Bài 2K";<'k−%

-8*/@A;?' D,D *B*Z;−C−'
'Z3-51K2 =;?'f H;<'F*&YXI"
"'E1 *2*&YXR-u =Km 
Bài 3>7/JK)







=++
=++
=++
„



S
zxyzxy
zyx
zyx
Bài 4*/@KV;W'*@+u&Xk3-88G*G */@KV;‡&C‡
X'(K^ysA"@&X D #*Y+|&%.%4 -*@KV;W'Y5Z8
* uM = a&(X H&%F•Y&Z HXFN
'# 1 1 X&N-8ZN I
"'6ZXkZ•YuXe3
Bài 5
%YYv 3
∈
aQ
zyxzyx
++
=++

Qu1K2 ="# Zk

$
i;%
t
−
t
';
S
iv
S
';v


−%

'
Hướng dẫn:
Bài 1'+*<%1 *28
% C  C  C %  
≥ ≥ ≠ + ≠

'345
( )
( ) ( ) ( )
%; %' ;  ' % % 
<
%   %  
+ − − − +
=
+ + −
( ) ( )
( ) ( ) ( )
;% ' % %   % % 
%   %  
− + + − +
=
+ + −
( ) ( )
( ) ( ) ( )
%  %  % %  %
%   %  
+ − + − + −
=

+ + −
( ) ( ) ( ) ( )
( ) ( )
   
 
x x y x y x x
x y
+ − + + + −
=
+ −
( )
%    %
 
− + −
=
−
( ) ( ) ( )
( )
  

x y y y y
y
− + − −
=
−
x xy y= + −
qj<k
% % 
+ −
"'<k

⇔
% % 
+ −
k

( ) ( ) ( ) ( )
%      %    
⇔ + − + = ⇔ − + =
( Di
 ≥
⇒
 x − ≤

 % 
⇔ ≤ ≤
⇒%kCCC$C
(-8 D 1  s1K2;C'-8;C'7Q
Bài 2:'/@A;?' D,D -8*B*Z;−C−'N^/JK)*/@
A;?'8k%i−
8*G* =;?'-8;<'8 =/JK)
−%

k%i−
⇔
%

i%i−k;n'
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
Q
N

M
O
C
B
A
   !„!
q)/JK);n' D
( )


  t     
∆ = − + = − + > ∀
^/JK);n'f D
I"Y?*D;?'-8;<'f HF*I"&-8X
"'&-8XR-u =Km 
⇔
/JK)%

i%i−k DK1
?€
⇔
−}
⇔
}
Bài 3
%  v S ;'
  
 ;'
%  v
% v %v „ ;$'


+ + =


+ + =



+ + =

6E
% Y  Y v 
≠ ≠ ≠

( ) ( )
( )
( ) ( )

  
     
     
  



%  v t %  v  % v v% t
%  v t  % v v% %  v „
%  v % v v% ;%  v '  % v v% 
;% ' ; v' ;v %' 
;% ' 

% 
; v'   v %  v
v %
;v %' 
⇒ + + = ⇔ + + + + + =
⇔ + + = − + + ⇔ + + =
⇒ + + = + + ⇒ + + − + + =
⇔ − + − + − =

− =
=



⇔ − = ⇔ = ⇔ = =
 
 
=
− =


(-8;'kx%kkvk$
(€%kkvk$aQ/JK)
qj/JK) D?€%kkvk$
Bài 4:
'Eo1 ∆&XZ-8∆NXZ
( D&X8*@+u =*@KV;W'^
·
·


&ZX NZX S = =

Z8* uM = a&^
·
·
·
·
&XZ ZXN X&Z XNZ= => =
hK∆&XZ I*lX
Zs+1  D(#1 &ZXG.
·
·
X&Z ZN⇒ =
; ]"]-
·
ZX
'C
·
·
ZN ZN⇒ =
; ]"R
·
X&Z
'
hK1 ZN I*lZ
"'Eo1 ∆ZX-8∆ZN• D
ZkZN;e ∆ZN I'CZXkZ•;e'

·
·

XZ ZN•=
;-)
·
·
ZX ZN=
C
·
·
ZX Z•N=
'
kx
ZX ZN• ;  '
∆ = ∆
⇒XkN•
Eo1 -f&X• D
& X•
⊥ ⇒
&X

kXX•kX;XNiN•'
kx&X

kX;&XiX'kX;Xi3'
kx3

kX;Xi3'kxXk
; r '3
−
Bài 5:(T
   

%  v %  v
+ + =
+ +
⇒


=
++
−++
zyxzyx
⇒
( )

=
++
−++
+
+
zyxz
zzyx
xy
yx
( )
( )
 
v  
% v %  v
⇒ + + =
+ +
 

 ÷
 ÷
 
( ) ( ) ( )

v% v v %
%   %   v ;v %' 
%v;%  v'
+ + +
⇒ + = ⇒ + + + =
+ +
 
 ÷
 ÷
 
( D%
t
−
t
k;%i';%−';%

i

';%

i

'k
S
iv

S
k;iv';
t
−
„
vi
L
v

−iv
t
'
v

!%

k;vi%';v

−v
$
%iv

%

−v%
$
i%

';v
r

−%
r
'
qjZk

$
i;%i';iv';vi%'&k

$
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !t!
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
M
D
C
B
A
x
   !S!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 5 (Không kể thời gian giao đề)
Bài 1: ' >7/JK)%

−%
$
iS%

−%ik
' %ik;%xCx'()1K2€ =&k

x
i
y
Bài 3: ' () 1 ,^Y"Y  *# ;%i';%−'−„
<Iu 8T,*/0 ;%i"';%i '
' 1 5%IYXYg/08 1 * ,*2K^&%Y& &X
}&Y*Z?*GKD %& 
Z&
ZX
k


E1 *2-2Ku*Z*ZXiZ*F1K2a€
Bài 4: */@KVIW*/@+u&X-8c-fD -Y€*["€+_K^
*c
'()*ZK^&cY*NK^& [8K* =ZN
"'#OZ&iN&+f*O
'#KR*/@KVF.1 &ZN*B* ,*2
Hướng dẫn
Bài 1: '5(K7@*4
'5c6.B7+1 1,8 
Bài 2: '&k;i'

i

ik;

ii'

−


i;

i

i'
k;

i$i';

ii'i;

ii';

−i'
k;

ii';

ii'k;

ii'

qj& . , u/J+1 -5,^?/J
' c&x^&€
⇔
&

€
Eo&


k;
x
i
y
'

k%ii
xy
ki
xy
;'
( D

yx +

xy≥
;X€*A# f'⇒x
xy
;'
(T;'-8;'K&

ki
xy
}ik
Z%&

k⇔%kk



Y&
%
k

⇔%kk


Bài 3 'q5% D;%i';%−'−„k;%i"';%i '
N^-%k)−„k;i"';i '
DK/@0
 „
 " 
+ = −


+ =

-8
 " „
  
+ =


+ = −

(K/@0#€ "k−$Y k−Yk−
( D;%−';%−'−„k;%−$';%−'
(K/@0# "k$Y kˆrYk
( D;%i';%−'−„k;%i$';%−r'
'>5c8*K^ F&X &ck



&X
( Dc8* ,*2Z8
Z& 
&X 
=
;'?*D
&c 
Z& 
=

Eo1 ∆&ZX-8∆&cZ D
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
K
O
N
M
I
D
C
B
A
   !!

·
Z&X
; 'C
Z& &c 
&X Z& 

= =

c*D∆&ZX∽∆&cZ⇒
ZX Z&

Zc &c
= =
⇒ZckZ&
Eo"*ZYcYZciZxc;+f*O' 
c*DZXiZk;ZciZ'xc
c€‰k‰%7K}kxZG *FAc
>1K2a€ =ZXiZ8c
n1 ?b*Z
!cb*/@KVI&"1+u


&X
!cbcK^&% &ck


&X 
Z8* =c-8*/@KV;&C


&X'
Bài 4: 'cb;[Y[&' H&cFZ H&FN
c
·

Z&N S=

^ZN8*/@+u
qj[8K* =ZN 
"'6|Z6††& D∆[Nk∆[Z6; '
⇒NkZ6kZc;-)∆Z6c-f I'
qj&Zi&Nk&ZiNi&k&ZiZci&
⇒&Zk&Nk&ci&+f*O 
'( D[&k[Xk[Zk[N 
qj*/@KVF.∆&ZN*B*&YX ,*2 

X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 6 (Không kể thời gian giao đề)
Bài 1.",%YYvQQ*:@
  
%    v  v %  + + = + + = + + =
(u1K2 ="# 
„ „ „
& %  v= + +

Bài 2."# 
 
Z % r%  %  = − + + − +

q1K28 =%Y)Z*F1K2a€Š()1K2a€*D
Bài 3.>7/JK)
( ) ( )
 
t

   „
x y x y
x x y y

+ + + =


+ + =


Bài 4*/@KVIW*/@+u&X"1+u3(..F*Z"€+_
K^*/@KV;W' H 1 ..F&-8Xg/0F-8c
#&Xck3


"()-2Ku =*Z* -1 Wc8a€
Bài 5Y"8 1 ,b ?/J#KR
( )

 "
 "  " " 

+
+ + ≥ +

Bài 61 &X DI1 &c#&c

k&X&ˆXcc
Hướng dẫn:
Bài 1.(T7. D




  
  
  
x y
y z
z x

+ + =

+ + =


+ + =


GT  1 *A#  D
( ) ( ) ( )
  
% %     v v  + + + + + + + + =

( ) ( ) ( )
  
%    v  ⇒ + + + + + =

%  
  
v  

+ =


⇔ + =


+ =


%  v ⇒ = = =

( ) ( ) ( )
„ „ „
„ „ „
& %  v    $⇒ = + + = − + − + − = −
qj&k−$
Bài 2.( D
( ) ( )
( )
 
Z % %     % %   „= + + + + + + − − + +

( ) ( ) ( ) ( )
 
Z %    %    „= − + − + − − +

( ) ( ) ( )


 $

Z %      „
 
 
⇒ = − + − + − +
 
 

c
( )

  − ≥
-8
( ) ( )


%    

 
− + − ≥
 
 

%Y ∀

Z „⇒ ≥


Z „ % C ⇒ = ⇔ = =

Bài 3.s

( )
( )
 % % 
-   

= +


= +


( D
 - t
- „
+ =


=


hKC-8 =/JK)

 
E tE „  E CE L− + = ⇒ = =

⇒
 
- L
=



=

C
 L
- 
=


=


⇒

( )
( )
% %  
   L

+ =


+ =


C
( )
( )
% %  L
   


+ =


+ =



X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !!
>7K^*/0 N =8;$C'C;−C'C;$C−$'C;−C!$'-8 1 1-2
Bài 4.'( D&kZCcXkcZ
1 W-8Wc8I1  =D &WZ-8ZWX^W⊥Wc
(1 Wc-f*lWYWZ8*/@ G  Fc^
ZW

kZZc⇒3

k&Xc
"'1 #1 &ZWCXcZWG.
·
·
·
·
ZW Z&WC ZcW ZXW⇒ = =

( )
Wc &ZX  ⇒ ∆ ∆ −∽

c*D


- Wc WZ
- &ZX Z
∆
=
∆
;Z

⊥&X'
cZ

≤WZ^

WZ

Z
≥

⇒-∆Wc≥ -∆&ZX
c€k%7K⇔Z

kWZ⇔Z≡W⇒Z8* uM = 
»
&X

Bài 5.( D
 
 
 C " 
 

   
− ≥ − ≥
 ÷  ÷
   

∀
Y"x
 
  C " " 
 
⇒ − + ≥ − + ≥

 
;  ' ;" " ' 
 
⇒ − + + − + ≥

∀
Y"x

 "  " 

⇒ + + ≥ + >

Zs+1 
 "  " + ≥ >

NIT  D
( ) ( )
( )


 "  "  "  "

 
+ + + ≥ +
 
 

( )
( )

 "
 "  " " 

+
⇒ + + ≥ +

Bài 6.q9*/@KVIWF.∆&X
>58* =&c-8;W'
( D
&Xc c∆ ∆∽
;'
Xc &c
&Xc Xcc
c c
⇒ = ⇒ =

( )

&c & &c Xcc &c &c& Xcc⇒ − = ⇒ = −


•F D
( )
&Xc & ∆ ∆∽


&X &c
&X& &&c &c &X& Xcc
& &
⇒ = ⇒ = ⇒ = −

X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
O
H
D
C
M
B
A
c


X
&
   !$!
TRƯỜNG THCS SỐ 2 ĐỀ UYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 7 (Không kể thời gian giao đề)
Câu 18,‹;%'k



+− xx
'(u‹;−'C‹;r' "'()%*‹;%'k '345&k

';

−x
xf
+%≠
±
Câu 2>7/JK)



+−=+−
−+=−
'$';„;'„';$;
'';;';
yxyx
yxyx
Câu 3"# &k








−

+








−
−
−
−
+






x
x
x
x
x
x
xx
-%x-8%≠
'345& "'()1K2 =%*&k$
Câu 4(T*<R8*/@KVIW"1+u3Y+|..<&C<X>5

8 I*/@-fD FT&*.*/@+uX
'#KR< H&FK* =&
"'>7y<Wk?(u&e3-8?
Câu 5/JK)%

i;−'%i−k6f7/JK)Y)*
/JK) DI"%

C%

aQ$%

−%

k
Hướng dẫn:
Câu 1: '‹;%'k
';

−=−=+− xxxx
hK‹;!'k$C‹;r'k$
"'
%   % 
‹ ;%' 
%   % t
− = =
 
= ⇔ ⇔
 
− = − = −

 
'

% 
‹ ;%'
&
%  ;% ';% '
−
= =
− − +
iq%xK%−xK

&
% 
=
+
iq%}K%−}K

&
% 
= −
+
Câu 2:
; ' ; '; '    t
; $'; „' ; „'; $'  L „   „ L 
x y x y xy x xy y x
x y x y xy y x xy y x
− = + − − = + − −
 
⇔

 
− + = − + − + − = − + −
 




x y
x y
− = − =
 
⇔ ⇔
 
+ = =
 
x -2

y 2
Câu 3 ' ( D&k








−
+









−
−
−
−
+






x
x
x
x
x
x
xx

k









−
+
−
−








−
−
−
+−
+−+

';



'';;
'';;
x

x
x
xx
x
x
xx
xxx

k








−
+−








−
−
−

−
+−






x
xxx
x
x
x
xx
k




−−
+−+−
x
x
x
xxx
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !!
k





−−
+−
x
x
x
x
k
x
x
x
x 

 −
⋅
−
+−
k
x
x−
"'&k$⇒
x
x−
k$⇒$%i
x
−k
⇒%k

$


Câu 4:
'c&††<X;]-fD -X'
^e*2`(e1?m <X D
CB
CH
PB
EH
=
C;' 
Zs+1 Y?<W††&; ]-fD -&X'
·
·
<WX &X⇒ =
;D *:-2'⇒∆&∽∆<WXc*D
OB
CH
PB
AH
=
;'
cXkWXY+.0;'-8;'K&k8K* =&
"'Eo1 -fX&Y*/@ & D&

kXk;3!'
(e;'-8?&kC( D
3 
 
= −
 ÷

 
2
AH.CB AH.CB
AH
2PB 2PB

⇔
&

<X

k;3<X!&X'&X
⇔
&<X

k3<XX!&X


⇔
&;<X

iX

'k3<XX
− −
⇔ = = = =
+ + − +
2 2 2 2 2 2
2 2 2 2 2 2 2 2
4R.CB.PB 4R.2R.PB 8R . d R 2.R . d R

AH
4.PB CB 4PB (2R) 4(d R ) 4R d
Câu 5: /JK) DI"%

C%

)∆x
⇔;−'

−;−'x (T*DK≠Yr ;'
Zs+1 Ye*2`qo-87. D
−

+ = −


−

=


− =



1 2
1 2
1 2
2m 1
x x

2
m 1
x .x
2
3x 4x 11
⇔









=
−
−
−
=
=
11
8m-26
77m
4
7
4m-13
3
8m-26
77m

x
7
4m-13
x
1
1

>7/JK)
11
8m-26
77m
4
7
4m-13
3 =
−
−
*/0 k−-8kYr ;'
, .*+;'-8;' Dqk−s kYr)/JK)*Q
 DI"aQ%

i%

k

X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
O
B
C
H

E
A
P
   !r!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 8 (Không kể thời gian giao đề)
Câu 1:<k


x
x x
+
−
i


x
x x
+
+ +
−


x
x
+
−
†345<
"†#<}


$
-%
≥
-8%
≠

Câu 2:/JK)%

−;−'%i

−$k;'C8,
†()*/JK);' D
"†()*/JK);' D 8"R"g+
Câu 3:†>7/JK)

x
i


 x−
k
"†Y"Y 8 1 ,b ŒQ≥C"≥Ci"− ik-8−"i„ −k
()1K2€-81K2"o€ =•kLi„"iL 
Câu 4:∆&X IF&-&XxXc?*GK^ F&XY;c+fK]-&Y
X'>5;W'8*/@KVF.∆Xc(.. =;W'F-8c HU6
†##1 &c6G.
"†(#1 &X68))Šq)Š
†E1 *2-2Ku*c #1 &X68)")8
Đáp án

Câu 1: ' +%
≥
-8%
≠
;Yr*'
<k
% 
% % 
+
−
i
% 
% % 
+
+ +
−
% 
; % '; % '
+
+ −
k
$
% 
; %' 
+
−
i
% 
% % 
+

+ +
−

% −
k
%  ; % '; % ' ;% % '
; % ';% % '
+ + + − − + +
− + +
k
% %
; % ';% % '
−
− + +
k
%
% % + +
"†q%
≥
-8%
≠
( D<}

$

⇔
%
% % + +
}


$
⇔
$
%
}%i
%
iC;-)%i
%
ix'
⇔
%−
%
ix
⇔
;
%
−'

x;4-)%
≥
-8%
≠
'
Câu 2 †</JK);' D+-8 l+
∆
•
≥

⇔
;−'


−

−$
≥

⇔
−
≥

⇔

≤

"†q
≤
);' D
>5G =;'8)+8$(eq!oY( D


 $  
$  $
+ = −


= −

⇒
k
 


−

⇒
$

 

−
 
 ÷
 
k

−$
⇔


iL−rk
⇔
k−$
±

L
;ŒQ*+'
Câu 3:
+%
≠
C−%


x
⇔
%
≠
C
x
}


X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !L!
sk

 x−
x( D
 
%   ;'
 
 ;'
% 

+ =


+ =


(T;' D%ik%(-8;' D%ks %k−



nN.%k)%ik6*D%Y8 =/JK)
E

−Eik
⇔
Ek
⇒
%kk
nN.%k−


)%ik−6*D%Y8 =/JK)
 E

iE−


k
⇔
Ek
 $

− ±
q)x^k
 $

− +

⇒
%k

 $

− −
qj/JK) D%

kC%

k
 $

− −
Câu 4:
†##1 &c6G.
"†(#1 &X68))Šq)Š
†(e I"Y#1 &X68)
c*DY#1 &X68)")8
⇔
&X††6
⇔
·
·
X& &6=
Z8
·

&6

=
*
»


k


*
»
Xc
k
·
cX
N^
·
·
Xc X&=
cb 
·
·
X X&=

6*DYc8* =
»
&X
-8
q7.
»
&X
x
»
X
)

·
X&
x
·
X&
x
·
Xc

⇒
c
∈
&X
qj*c%1 *2/K^8* g)
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
O
K
D
C
B
A
   !„!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 9 (Không kể thời gian giao đề)
Bài 1:"# &k
2
4( 1) 4( 1)
1
. 1

1
4( 1)
x x x x
x
x x
− − + + −
 
−
 ÷
−
 
− −
'()*+ =%*&%1 *2
"'345&
Bài 2:(K^ ]GsA5*G *&;rC'-8X;$C−'
'q./J)*/@A&X
"'E1 *2*ZK^Km 8*1 Z&X IFZ
Bài 3:()€ 7 1 ,b^*Ž%%

−

%iik D^
Bài 4:1 &X<I1 &c;c∈X'-9*/@KVIWB&-8c*:@
.%4 -XFc/@KV8 H&X-8&g/0F-8d#
'd††X
"'1 1 &c-8&cC&dc-8&Xc8 1 1 *:?F
'&&k&d&Xk&

Bài 5: 1 ,?/J%YaQ*+%


i

≥%
$
i

#
%
$
i
$
≤%

i

≤%i≤
Đáp án
Bài 1:
a)+%aQ
2
1 0
4( 1) 0
4( 1) 0
4( 1) 0
x
x x
x x
x x
− ≠



− − ≥


+ − ≥


− − >

⇔
1
1
1
2
x
x
x
x
≠


≥


≥


≠

⇔%x-8%≠

6•&%1 *2+}%}s %x
b)345&
&k
2 2
2
( 1 1) ( 1 1)
2
.
1
( 2)
x x
x
x
x
− − + − +
−
−
−
k
1 1 1 1
2
.
2 1
x x
x
x x
− − + − +
−
− −
q}%}&k

2
1 x−
q%x&k
2
1x −
6.j
q}%})&k
2
1 x−
q%x)&k
2
1x −
Bài 2: a)&-8X D8*G-8*G*+1 ^/JK)*/@A&X D
?Fk%i"
&;rC'∈&X⇒ri"k
X;$C−'∈&X⇒$i"k−
>7 Dk$C"k−$
qj/JK)*/@A&X8k$%−$
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !t!
b)>7yZ;%Y'∈%%• D
Z&k
2 2
( 5) (0 2)x − + −
ZXk
2 2
( 3) (0 4)x − + +
∆Z&X I⇒Z&kZX⇔
2 2
( 5) 4 ( 3) 16x x− + = − +

⇔;%−r'

ik;%−$'

iL⇔%k
6.j g)Z;C'
Bài 3: </JK) D^+∆k

−−8, u/J
(F DkC)∆}F
k)∆kk

j
≥$);−'xr⇔

−−rx
⇔∆−;

−−r'}∆}∆ii
⇔

−i}∆}

⇔;

−'

}∆};

'


∆+f u/J
qjk81K2 g)
Bài 4:
'
·
·
»
= =
1
EAD EFD( sdED)
2

·
·
»
= =
1
FAD FDC( sdFD)
2

8
·
·
·
·
= ⇒ =EDA FAD EFD FDC
⇒d††X;D eK"R'
b)&c8I1 D X&^
»

»
=DE DF
*
·
=
1
ACD
2
*;
¼
»
−AED DF
'k
1
2
*
»
AE
k*
·
ADE
c*D
·
·
=ACD ADE
-8
·
·
=EAD DAC
⇒∆c&∽∆&c;'

(/Jb*
·
»
¼
»
= = −
1 1
ADF sdAF sd(AFD DF)
2 2
k
¼
»
·
− =
1
(sdAFD DE) sdABD
2
⇒
·
·
=ADF ABD
?*D∆&dc∽∆&Xc;−'
c) (eK^
i∆c&∽∆&c;−' ⇒
=
AE AD
AD AC
&c

k&&;'

i∆&dc∽∆&Xc;−' ⇒
=
AD AF
AB AD
&c

k&X&d;'
(T;'-8;' D&c

k&&k&X&d
Bài 5: + ( D;

−'i≥⇒
$
≤

i

⇒;%
$
i

'i;%

i
$
'≤;%

i


'i;

i%
$
'
8%
$
i

≤%

i
$
?*D%
$
i
$
≤%

i

 ;'
i( D%;%−'

≥;i';−'

≥⇒%;%−'

i;i';−'


≥
⇒%
$
−%

i%i

−
$
−

i≥⇒;%

i

'i;%

i$'≤;%i'i;%
$
i

'
8%

i
$
≥%
$
i


⇒%

i

≤%i ;'
-8;%i';%−'≥C;−';
$
−'≥C%
$
−%

−%ii

−−
$
i≥
⇒;%i'i;%

i
$
'≤i;%
$
i

'
8%

i
$
≥%

$
i

⇒%i≤ ;$'
(T;';'-8;$' D%
$
i
$
≤%

i

≤%i≤
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
F
E
A
B
C
D
   !S!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH VÀO LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 10 (Không kể thời gian giao đề)
Bài 1:"# & =


'$;
x
xx +−

i

t'; xx −+

345"# &
"()M1K2^ =% "# & ~ D1K2^
Bài 2 1 */@A;?

'k%−C;?

'k%−C;?
$
'k%i;i'
()* ,*28*/@A;?
$
'f*B-51K2 =
"()*"*/@A;?

'C;?

'C;?
$
'*:B
Bài 3/JK)%

−;−'%i−$k;'
#/JK)f DI"
"()G# ^M =;'8+fmG -8
()1K2a€ =<k%



i%


;-%

Y%

8 =/JK);''
Bài 4*/@KV;'-?IX ,*2-8G*&*O-2KuK^ X
&x&X-8&xX>5c8* uM = aX1 .. =;W'F
c-8 HF>5<Y•g/08* = 1  s*/@A&X-cC&c
-8
#KRc††X
"##1 <&•G.
>5* = 1 ?I&c-8X8d## 
= +
1 1 1
CE CQ CF

Bài 5 1 ,?/JY"Y #KR
< + + <
+ + +
a b c
1 2
a b b c c a
Hướng dẫn:
Bài 1!+%
≠


345
+ +
= + − +
4 2
2
2
x 6x 9
A x 4x 4
x


$

−+
+
= x
x
x

!q%}
− + −
=
2
2x 2x 3
A
x

!q}%≤
+
=

2x 3
A
x

!q%x
− +
=
2
2x 2x 3
A
x

"()%^*&^&^⇔
+ M
2
x 3 x
⇔$
x
⇒%k
{ }
− −1; 3;1;3

Bài 2:
;?

'k%i;i'⇔;%i'i;−'k
8,fB* ,*2-5




=−
=+


y
x
⇔



=
−=


y
x
qjN;−C'8* ,*28;?
$
'*B
">5Z8*;?

'-8;?

'(5*GZ8 =



−=
−=



xy
xy
⇔



=
=


y
x
qjZ;C'
N.;?
$
'*BZ;C')Z;C'8;?
$
'
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !!
( Dki;i'⇒k−
$

qjk−
$

);?

'C;?


'C;?
$
'*:B
Bài 3∆•k

−$ik;−

$
'

i

„
x
∀

qj/JK) DI"
"(eqo
+ = −


= −

1 2
1 2
x x 2(m 1)
x x m 3
⇒
+ = −



= −

1 2
1 2
x x 2m 2
2x x 2m 6

⇔%

i%

−%

%

−k+fmG -8
<k%


i%


k;%

i%

'


−%

%

k;−'

−;−$'k;−

r
'

i
≥ ∀
15 15
m
4 4

qj<

k

r
-k

r

Bài 4
h*
·
CDE

k


h*
»
DC
k


h*
»
BD
k
·
BCD
⇒c††X;D -2Kue'
"
·
&<
&<k


*;&−c'k
·
&•

hK#1 &<•G.;-)
·
·
=APC AQC

])*&'
(#1 &<•G.
·
·
=CPQ CAQ$
; ] H •'
·
·
=CAQ CDE
; ] H c'
hK
·
·
= ⇒CPQ CDE DE // PQ
( D
DE
PQ
k
CE
CQ
;-)c††<•';'

=
DE QE
FC QC
;-)c††X';' 
G;'-8;'
+
+ = = =
DE DE CE QE CQ

1
PQ FC CQ CQ
⇒ + =
1 1 1
PQ FC DE
 ;$'  
Zs+1 ck;† ..'T;'K<•k•
(-8;$'
+ =
1 1 1
CQ CF CE
 
Bài 5:( D
+
< <
+ + + + +
a a a c
a b c b a a b c
 ;'
+
< <
+ + + + +
b b b a
a b c b c a b c
;'
+
< <
+ + + + +
c c c b
a b c a c a b c

;$'
GT ;'Y;'Y;$'
< + + <
+ + +
a b c
1 2
a b b c c a

X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 11 (Không kể thời gian giao đề)
Câu 1:>7 1 /JK)-8/JK)
'%

i$%•rk ;'
"'%

•$%

•k ;'
'
2x y 1 (a)
3x 4 y 1 (b)
+ =


+ = −


 ;$'
Câu 2:
'q9*:2;<' =8,k•%

-8*/@A;?'k%•K^ ]G ]
GKm F*G
"'()5*G 1 * =;<'-8;c'U IK^"Rou
Câu 3:(5 1 "# 
'&k
7 4 3 7 4 3− − +
"'Xk
x 1 x 1 x x 2 x 4 x 8
.
x 4
x 4 x 4 x
 
+ − + − −
−
 ÷
 ÷
−
+ +
 
;%xC%‡'
Câu 4: /JK)%

•%•k;8,'
'#/JK)K^f DI"
"'>5%


Y%

8 =/JK)K^()*
2 2
1 2 1 2
x x x x 7+ − =

Câu 5:(T*ZU8*/@KV;W'-9 1.Zc+f*BIW-8
..Z&YZX*.*/@KV;W'YU*I&YX8 1 .*-8RMZYc
'#Z&

kZZc
"'>5[8K* =c#KRr*ZY&YWY[YX ]RK^G
*/@KV
'>58* =&X-8ZW##1 WcG.*/0 */@
KVhK&X8I1  =D c
?'>568* = 1 ..F-8c =*/@KV;W'#&YXY
6A8
Hướng dẫn:
Câu 1:
a'%

i$%•rk ;'
Cách 1</JK) D?Fi"i k^/JK);' D8
%

k%

k
c 5

a 2
= −

Cách 2( D∆k"

• k$

•;•r'kSx^/JK);' D
I"8%

k
3 7 5
4 2
− −
= −
s %

k
3 7
1
4
− +
=

b'%

•$%

•k ;'sk%


Y•
</JK);'KU8

•$•k⇔
t 1
t 4
= −


=

;•"i k'
h1*+*/0 k⇔%

k⇔%k±
qj/JK);' DI"8%ks %k•
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
   !!
c'
2x y 1 (a)
3x 4 y 1 (b)
+ =


+ = −

;$'
Cách 1(T;'⇒k•%; '(.; '-8;"'*/0 
$%i;•%'k•⇔•r%k•r⇔%k
(.%k-8; '*/0 k•

qj/JK);$' D8%k-8k•
Cách 2;$'⇔
8x 4 y 4
3x 4 y 1
+ =


+ = −

⇔
5x 5
3x 4 y 1
=


+ = −

⇔
x 1
3.1 4 y 1
=


+ = −

⇔
x 1
y 1
=



= −


qj/JK);$' D8%k-8k•
Câu 2:
a'nX71K2*s " =8,k•%


% • •   
k•%

• •  • •
nX71K2*s " =8,k%•
%  
k%• • 
:2;<'-8;c'*/0 -9/
b'</JK)8*G* =;<'-8;c'8
 •%

k%•⇔%

i%•k⇔%k%k•;i"i k'
6%k)k•C6%k•)k•
qj;<' H;c'F*8;C•'-8;•C•'
Câu 3:
a'&k
7 4 3 7 4 3− − +
k
2 2

(2 3 ) (2 3 )− − +
k
2 3 2 3− − +

Z8•
$
x-8i
$
x^&k•
$
••
$
k
2 3−

b'X k
x 1 x 1 x x 2 x 4 x 8
.
x 4
x 4 x 4 x
 
+ − + − −
−
 ÷
 ÷
−
+ +
 

k

2 2 2
x 1 x 1 ( x 4)( x 2)
.
( x) 2 ( x 2) x
 
+ − − +
−
 ÷
 ÷
− +
 
k
2 2
( x 1)( x 2) ( x 1)( x 2) (x 4 )( x 2)
.
x
( x) 2 ( x 2)
 
+ + − − − − +
 ÷
 ÷
 
− +
 
 
k
x 3 x 2 (x 3 x 2)
x
+ + − − +
k

6 x
x
kL
Câu 4:%

•%•k;8,'
a'#/JK)K^f DI"
Cách 1( D∆pk

ix-5^/JK)K^f DI"
Cách 2(€-5Y-8 K1?€^/JK)f DI"
b'>5%

Y%

8 =/JK)K^()*
2 2
1 2 1 2
x x x x 7+ − =

(e' D-5/JK)f DI"
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
!$ ! !   $
!
!$
!
!
x
y
O

   !$!
6*D Dhk
1 2
x x 2m+ =
-8<k%

%

k•
c*D
2 2
1 2 1 2
x x x x 7+ − =
⇔h

•$<k„⇔;'

i$k„⇔

k⇔k±
qj7^ g"81⇔k±
Câu 5:
a'Eo1 Z&-8Zc& D
n
µ
Z
 
n
·
·

Z& Zc&=
;k
»
*&
1
s
2
'
hK∆Z&∽∆Zc&;•'
⇒
MA MC
MD MA
=
⇒Z&

kZZc
b'nZ&YZX8.. =;W'^

·
·

Z&W ZXW S= =

n[8K*?Ic^
·

Z[W S=

c*D
·

·
·

Z&W ZXW Z[W S= = =

⇒r*ZY&YWY[YX ]G */@KV*/@+uZW
c)( DZ&kZX;u €.. H'-8W&kWXk3
;W'

c*DZW8KKb  =&X⇒ZW⊥&X
(K∆Z&W-fF& D&8*/@ ⇒Z&

kZZW
Z8Z&

kZZc;?''⇒ZZckZZW⇒
MH MC
MD MO
=
;'
Eo∆Z-8∆ZcW D
¶
Z
Y+.0-;'K∆Z∽∆ZcW; •• '
⇒
·
·
Z ZcW=
⇒(#1 WcG.
( D

i∆Wc IFW⇒
·
·
Wc ZcW=
i
·
·
Wc Wc=
;?WcG.'
c*D
·
·
ZcW Wc=
8
·
·
ZcW Z=
; '⇒
·
·
Z Wc=
⇒
·
·
 
S Z S Wc− = −
⇒
·
·
& c&=

⇒&8I1  =
·
c
&X8I
1  =
·
c

d)(#1 W6cG.;-)
·
·

W6 Wc6 S= =
'
⇒
· ·
·
W6 Wc ZcW= =
8
·
·
ZcW Z=
; '
⇒
·
·
W6 Z=
⇒W6G.
⇒
·

·

6W 6W S= =

⇒6⊥ZWF8&X⊥ZWF
⇒6K]&X⇒6Y&YXA8
!!!!!!!!!!!!!!W!!!!!!!!!!!!!!
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
O
M
D
C
A
B
I
H
K
   !!
TRƯỜNG THCS SỐ 2 ĐỀ LUYỆN THI TUYỂN SINH LỚP 10
BÌNH NGUYÊN Môn: TOÁN - Thời gian làm bài: 120 phút
ĐỀ THI THỬ 12 (Không kể thời gian giao đề)
Câu 1:
'(b ou
 „ „rA = + −
"'345"# 
 
  % 
<
% 
%  % 

 
 
−
= −
 ÷
 ÷
 ÷
+
+ −
 
 
q%xCxC%≠
Câu 2:
'q9*:28,k%i;?'
"'>5* =;?'-Km 8&Y-Km 88X(u,*D &XW u
%1 *.*G
Câu 3: /JK)
%  
; '%  S
+ = −


− + = −

'>7/JK)-k$
"'()*/JK) D?€
Câu 4:
'/JK)%

ir%•k D%


Y%

6f7/JK)Qu
1K2Ek%


•%

%

i%



"'/@"GT&*.X8+/@* ]4 T&*.XYG/@*%e
1YG/@*ffN/@*ff*.XJ/@*%e18@X.P@Yf
f*J%e18+()-j, %e1-8-j, ff
Câu 5: */@KVIWYT*ZU"^8*/@KV+|..Z&YZX =
*/@KV;&YX8.*-8&+1 X'q9 1.Zc =*/@KV;RM
Z-8c'
'##1 Z&WXG.*/0 */@KV
"'#Z&

kZZc
'>7y"1+u*/@KVIW8L YWZk Yck$YL (uZc
Câu 6: 1 &X-fFXYD &X"R$

Y&k (uu )D
F8+B1 &XB&X

Hướng dẫn:
Câu 1:
'(b ou
 „ „rA = + −

 $ $ $ r $ = + − =
"'345"# 
 
  % 
<
% 
%  % 
 
 
−
= −
 ÷
 ÷
 ÷
+
+ −
 
 
q%xCxC%≠

( ) ( )
( ) ( )
%  % 
%  %   
% 

<  
%  %  
%  % 
+ −
− − − −
−
= × = × = −
+ −
+ −
Câu 2:
';?'8*/@A*B;C'-8;!C'
"'(e7.&;C'-8X;!C'
D &XW u8D F"U;?'-Km W%
,D  =;?'kx^

· ·

&XW  &XW L$= ⇒ ≈
(hoặc dựa vào đồ thị xét tam giác OAB)
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
4
2
-2
-4
-5 5
y
f
x
( )
= 2

⋅
x+4
B
A
x
   !r!
Câu 3:
/JK)
%  
; '%  S
+ = −


− + = −

'-k$)98
$% L  % 
%  S  r
+ = − =
 
⇔
 
− + = − = −
 
"'*/JK) D?€)
 "
 p " p
≠
( ) ( )
( )

 
        
  

      - 

⇔ ≠ ⇔ ≠ − ⇔ − − ≠
−
⇔ − ≠ ⇔ ≠ ≠
(có thể lí luận khác)
Câu 4:
'(T/JK)%

ir%•k DYeq!o D%

i%

k
r

−
C%

%

k


−


Ek%


•%

%

i%


k;%

i%

'

•$%

%

k

r  $
$
  
− −
 
− =
 ÷
 

"'>5-j,  =%e18%;+†'-%xC)-j,  =ff8%i;+†'
(@%e1*.BQ*/@&X

%
;'
(@ff*.BQ*/@&X

% +
;'
( D<(

%
−

% +
k

% %  ⇔ + − =
>7T"/ )*/0 %kC%k−L;F'
(K7@-j,  =%e18+†Y-j,  =ff8ikL+†
Câu 5:
a)
·
·

Z&W ZXW S= =
;u €..'
⇒
·
·

  
Z&W ZXW S S t+ = + =
⇒
Z&WXG.*/0 */@KV
b) Eo∆Z&c-8∆Z& D
·
&Zc
 
·
·
Zc& Z&=
; ] H & =;W''
⇒∆Zc&∽∆Z&;•'

Zc Z&
Z& ZZc
Z& Z
⇒ = ⇒ =
c) Eo1 -fZ&We<!! DZ&

kZW

•W&

k

•L

kL
sZck%Y-%x(T


Z& ZZc=
hK;%•c'%kZ&

⇔%

•$YL%•Lk
>7/JK))*/0 %kY%k−LY;F'qjZck 
Câu 6:6B1 &X-fFXG-VB F&X ,*2*/0 )D
D*l8&Y"1+u*18XY  8&X
Eo1 &X-fFX D
&Xk&$

k

 

× =

Xk& $

k
$
 $

× =
X^jHOÀNG CHƯƠNG >-(K/@(hh,X)N^ (8/8G"G
c
W
Z

&
X

X
&
